Symmetries and supersymmetries of the Dirac-type operators
on curved spaces

Abstract:The continuous and discrete symmetries of the Dirac-type operators
constructed with Killing-Yano tensors are studied in manifolds of arbitrary
dimensions. The covariantly constant Killing-Yano tensors realize certain
square roots of the metric tensor. Such a Killing-Yano tensor produces
simultaneously a Dirac-type operator and the generator of a one-parameter
Lie group connecting this operator with the standard Dirac one. The briefly
presented examples are the Euclidean Taub-NUT space and Minkowski spacetime.